Sentence examples for concluding the existence from inspiring English sources

Similarly to Proposition 32 about (L^p({{mathbb R}^{N}}))-valued solutions, we now specify the special form of sequential compactness that is sufficient for concluding the existence of solutions (to the full nonlinear problem) from Euler approximations (on the basis of autonomous linear problems).

The three reviewers concluded the existence of DIF as item impact and no test bias existed.

Even on its own terms it is wrong to conclude the existence of a Creator rather than an architect.

Some international studies concluded the existence of a significant association between age, educational level, average income and subjective evaluation of health status.

Then the theory of Hopf bifurcation of maps in R2is applied to conclude the existence of codimension-2 Hopf bifurcation of the vibro-impact system.

In the paper, a centre manifold theorem technique is applied to reduce the Poincaré map of the vibro-impact system to a two-dimensional one, and then the theory of Hopf bifurcation of maps inR2is applied to conclude the existence of Hopf bifurcation of the vibro-impact system.

By and Theorem 2.2 we conclude the existence of at least one fixed point of in.

In this section, we conclude the existence of positive solution of (1.1).

According to Lemma 3.4, we conclude the existence of bounded absorbing sets as follows.

As high as the intuitive cost is, Lewis (135) concludes, the existence of worlds "ought to be accepted as true.

From the assumption, one concludes the existence of the limit lim_{m rightarrowinfty}V^{(m)}({mathbf{x}})_{k+1}.